Institut für Kernphysik, Technische Universität Darmstadt, 64289 Darmstadt, Germany.
ExtreMe Matter Institute EMMI, GSI Helmholtzzentrum für Schwerionenforschung GmbH, 64291 Darmstadt, Germany.
Phys Rev Lett. 2019 Feb 1;122(4):042501. doi: 10.1103/PhysRevLett.122.042501.
We present an efficient Monte Carlo framework for perturbative calculations of infinite nuclear matter based on chiral two-, three-, and four-nucleon interactions. The method enables the incorporation of all many-body contributions in a straightforward and transparent way, and makes it possible to extract systematic uncertainty estimates by performing order-by-order calculations in the chiral expansion as well as the many-body expansion. The versatility of this new framework is demonstrated by applying it to chiral low-momentum interactions, exhibiting a very good many-body convergence up to fourth order. Following these benchmarks, we explore new chiral interactions up to next-to-next-to-next-to-leading order (N^{3}LO). Remarkably, simultaneous fits to the triton and to saturation properties can be achieved, while all three-nucleon low-energy couplings remain natural. The theoretical uncertainties of nuclear matter are significantly reduced when going from next-to-next-to-leading order to N^{3}LO.
我们提出了一种基于手征二、三和四体相互作用的有效蒙特卡罗框架，用于无限核物质微扰计算。该方法能够以直接透明的方式纳入所有多体贡献，并通过在手征展开和多体展开中进行逐阶计算来提取系统不确定性估计。通过将其应用于手征低动量相互作用，该新框架的多功能性得到了证明，在第四阶达到了非常好的多体收敛。在此基准之后，我们探索了新的手征相互作用，直至次领头阶（N^{3}LO）。值得注意的是，同时拟合氚核和饱和性质是可以实现的，而所有三体低能耦合仍然是自然的。当从次领头阶到 N^{3}LO 时，核物质的理论不确定性显著降低。
